Question

What is the length of the third side of the window frame below?

Answer 1

Answer: second option

Step-by-step explanation:

You know that it is a right triangular window frame.

Then, you can use the Pythagoren Theorem to find the lenght of the third side:

$a^2=b^2+c^2$

Where "a" is the hypotenuse  (or the longest side), and "b" and "c" are the legs .

Then, you can solve for one of the legs:

$b^2=a^2-c^2\\b=\sqrt{a^2-c^2}$

Since you know the lenght of the hypotenuse and the lenght of one leg, you can substitute values.

Therefore, you get:

$b=\sqrt{(87in)2^-(63in)^2}\\b= 60in$